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Finding the Fourth Proportional to 19,533.79, 29,297.49 and 5,494.78

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Solution

The fourth proportional to 19,533.79, 29,297.49 and 5,494.78 is: 8,241.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,533.79 : 29,297.49 = 5,494.78 : x
  2. Step 2: Convert to fraction form
    19,533.79/29,297.49 = 5,494.78/x
  3. Step 3: Cross multiply
    19,533.79x = 29,297.49 × 5,494.78
  4. Step 4: Simplify right side
    19,533.79x = 160,983,262.10
  5. Step 5: Solve for x
    x = 160,983,262.10/19,533.79
  6. Step 6: Final answer
    x = 8,241.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.